Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 741552: Factor the polynomial completely:
4xz^2-2xz-72x
I understand you take out 2x, which leaves you with:
2x(2z^2-1z-36)
What next?
Click here to see answer by Edwin McCravy(20054)

Question 741554: How do I factor and solve for each possible value of x?
x^2-5x-36=0
Please help! Thanks :)
Click here to see answer by josgarithmetic(39613)

Question 741596: How do you simplify ?
-1 and -4 are exponents.
Click here to see answer by Alan3354(69443)

Question 741631: (y-4)(y-2)=0
Click here to see answer by jim_thompson5910(35256)

Question 741631: (y-4)(y-2)=0
Click here to see answer by lenny460(1073)

Question 741019: factor the polynomial x to the power2-4x+4
Click here to see answer by Jeremychi92(5)

Question 740920: How are the processes of adding monomials and adding polynomials alike? How are the processes different?
Click here to see answer by Jeremychi92(5)

Question 740568: how can i factor X to the fourth power minus 1

Click here to see answer by Jeremychi92(5)

Question 740413: (X^2-2)^4
Click here to see answer by Jeremychi92(5)

Question 741803: I am working with a student in Algebra I on Polynomials. We are needing to write problems in standard form and I have not had Algebra in over 10 years and I am panicking on how to help her!
Click here to see answer by only4christ(12)

Question 741829: Simplify the expressions:
(w+5)^2
(h+2)^2
My answers:
w^2+25
h^2+4
I don't think that these are correct, can I have them checked? Any help is appreciated

Click here to see answer by only4christ(12)

Question 741856: I have to factor completely
10-19c+6c^2
I am having issues trying to find a common factor...

Click here to see answer by jim_thompson5910(35256)

Question 741921: Please help! What is (2x-5)^2 as a perfect square trinomial?
Click here to see answer by edjones(8007)

Question 741921: Please help! What is (2x-5)^2 as a perfect square trinomial?
Click here to see answer by Alan3354(69443)

Question 741721: Can you explain how to simplify this expression?
2x-3[x+4(5-2x)]
Thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 742012: Simplify: (-5a^2)(-6b^3)^2
I am getting a horrible grade in algebra and I REALLY REALLY NEED HELP!!!!!
Click here to see answer by josgarithmetic(39613)

Question 742012: Simplify: (-5a^2)(-6b^3)^2
I am getting a horrible grade in algebra and I REALLY REALLY NEED HELP!!!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 742048: What is the answer to "Divide n squared plus n minus 6 over n plus 4, divided by n squared plus 7n plus 12 over n minus 2". Thank you so much
Click here to see answer by mananth(16946)

Question 742139: Work problem:
Normally, it takes Jeffery 1 hour 45 minutes (105 min or 7/4 hour) to mow and trim an average lawn. When Lupe worked with him, an average lawn only took an hour. How long would it take Lupe to mow and trim an average yard on her own?
Click here to see answer by stanbon(75887)

Question 742143: Find the remaining zeros of the following polynomial given that P(i)=0.
P(x) = x^4 -8x^3 +14x^2 -8x +13
I know that -i is the conjugate so (x+i)(x-i) = (x^2+1). I am stuck with how to break down the polynomial. Sythetic division leaves a remainer. I also know I need to get this into quadradic from so I can use the formula.
Click here to see answer by stanbon(75887)

Question 742446: What are the zeros of x^4-2x^3-23x^2-2x-24
Click here to see answer by MathLover1(20849)

Question 742515: Add 5x - 4 and -18x + 10.
Please show steps: Thank you.
Click here to see answer by checkley79(3341)

Question 742494: What is a polynomial with a single root at x = -6 and a triple root at x = -1?
Click here to see answer by fcabanski(1391)

Question 742543: Factor completely:
+ -
Please show how you arrived at result. Thank you so much.
Click here to see answer by MathLover1(20849)

Question 742556: Factor out the gcf in each polynomial?
6x^5-8x^4+2x^3?
Click here to see answer by MathLover1(20849)

Question 742565: Please help me factor 3m�+8m+21
Click here to see answer by Edwin McCravy(20054)

Question 742642: Solve
My working:

&

The textbook answer is & . Please help me find where I went wrong. Thanks.

Click here to see answer by josgarithmetic(39613)

Question 742750: how do you solve the equation for 54x3-15x2-6x=0 I'm working on polynomials and this question has me lost.
Click here to see answer by nerdybill(7384)

Question 742825: use cramer's rule to solve each system of equations
6x-5y=1
3x+2y=5
Click here to see answer by MathLover1(20849)

Question 742823: use cramer's rule to solve each system of equations
4x-y=3
x+y=7
Click here to see answer by MathLover1(20849)

Question 742918: what is the quotent of (18x'3+12x-3) / 6x'2
Click here to see answer by rfer(16322)

Question 742916: add
(7b+5b^2-3) + (3b^3-5b +8)=
Click here to see answer by rfer(16322)

Question 742913: subtract
(5x+2)-(5x+3)=

Click here to see answer by rfer(16322)

Question 742964: multiply and simplify the answer
(14-z)z
Click here to see answer by lenny460(1073)

Question 743020: I need help solving this question The perimeter of the quandrilateral is 43 centimeters. find the length of each side x+7, x2-3x, 3x-2, x+3
Click here to see answer by stanbon(75887)

Question 743039: 11x+8=(x+2)(3x+4)
Click here to see answer by davethejackal(28)

Question 743057: factor trinimial completely
4a^3+28a^2+40a
Click here to see answer by MathLover1(20849)

Question 743052: Factor the trinomial
4x^2+7x-2
Click here to see answer by lynnlo(4176)

Question 743070: Algebraic fraction help? What is the fraction in its lowest terms? (a^3 - b^3) / ((a^3 * b^3) + (a^2 * b^4) + ab^5)
I tried to simplify it but I got to (3a^2 * b)+ 2a + 3ab * (a-b) / a^2 * b^7
Then I got stuck, I don't even know if what I simplified is correct, please help me understand
Click here to see answer by MathTherapy(10549)

Question 743219: Write 3 different polynomials whose sum is 5m^4+6m

Click here to see answer by stanbon(75887)

Question 743228: How do I factor b to the third power plus 49b completely. I have broke down into prime factors giving me b*b*b+7*7*b. This gives me b squared plus 49. Please advise if I am doing this polynomial correctly.
Click here to see answer by Alan3354(69443)

Question 743276: factor out -1 from -8t^2 - 9t - 2
Click here to see answer by MathLover1(20849)

Question 743346: Reduce to lowest terms:
x^2-4xy+4y^2/3xy-6y^2
I am trying to help my son but I've forgotten most of this from my school days.
This is from his prep for the State Standards Test. If you could refresh my memory I should be able to guide him to the correct answer.
Thanks.
Click here to see answer by mananth(16946)

Question 743372: 27x^3-8
please factor
thank you so much!
Click here to see answer by lenny460(1073)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105